22 citations · 68 across the 11 of their papers we have counts for
6 papers · 1 filter
On Agmon metrics and exponential localization for quantum graphs
Evans M. Harrell, Anna V. Maltsev
We investigate the rate of decrease at infinity of eigenfunctions of quantum graphs by using Agmon's method to prove and bounds on the product of an eigenfunction…
Bounds for the Stieltjes Transform and the Density of States of Wigner Matrices
Claudio Cacciapuoti, Anna Maltsev, Benjamin Schlein
We consider ensembles of Wigner matrices, whose entries are (up to the symmetry constraints) independent and identically distributed random variables. We show the convergence of th…
Local Marchenko-Pastur Law at the Hard Edge of Sample Covariance Matrices
Claudio Cacciapuoti, Anna Maltsev, Benjamin Schlein
Let be a matrix whose entries are i.i.d. complex random variables with mean zero and variance . We study the asymptotic spectral distribution of the…
A Wegner estimate for Wigner matrices
Anna Maltsev, Benjamin Schlein
In the first part of these notes, we review some of the recent developments in the study of the spectral properties of Wigner matrices. In the second part, we present a new proof o…
Average Density of States for Hermitian Wigner Matrices
Anna Maltsev, Benjamin Schlein
We consider ensembles of Hermitian Wigner matrices, whose entries are (up to the symmetry constraints) independent and identically distributed random variables. Assumi…
Universality Limits of a Reproducing Kernel for a Half-Line Schrödinger Operator and Clock Behavior of Eigenvalues
Anna Maltsev
We extend some recent results of Lubinsky, Levin, Simon, and Totik from measures with compact support to spectral measures of Schrödinger operators on the half-line. In particular,…